國立高雄大學圖資館 |

Language: English

Back

Contemporary mathematical thinking

Record Type:	Electronic resources : Monograph/item
Title/Author:	Contemporary mathematical thinkingby Frederic Patras.
Author:	Patras, Frederic.
Published:	Cham :Springer International Publishing :2023.
Description:	vii, 130 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	MathematicsHistory20th century.
Online resource:	https://doi.org/10.1007/978-3-031-27548-7
ISBN:	9783031275487$q(electronic bk.)

Contemporary mathematical thinking
Patras, Frederic.

Contemporary mathematical thinking[electronic resource] /by Frederic Patras. - Cham :Springer International Publishing :2023. - vii, 130 p. :ill., digital ;24 cm. - Synthese library, studies in epistemology, logic, methodology, and philosophy of science,v. 4742542-8292 ;. - Synthese library, studies in epistemology, logic, methodology, and philosophy of science ;v.375..

1. Introduction -- 2. Style in Mathematics -- 3. From Plato to Husserl -- 4. The Origins of modern Mathematics -- 5. Axioms and Intuitions -- 6. The structuralist Current -- 7. Structures and Categories -- 8. The Homes of Thought -- 9. To the Meeting of Reality -- 10. Conclusion -- References.

This book deals with the evolution of mathematical thought during the 20th century. Representing a unique point of view combining mathematics, philosophy and history on this issue, it presents an original analysis of key authors, for example Bourbaki, Grothendieck and Husserl. As a product of 19th and early 20th century science, a canon of knowledge or a scientific ideology, mathematical structuralism had to give way. The succession is difficult, still in progress, and uncertain. To understand contemporary mathematics, its progressive liberation from the slogans of "modern mathematics" and the paths that remain open today, it is first necessary to deconstruct the history of this long dominant current. Another conception of mathematical thought emerged in the work of mathematicians such as Hilbert or Weyl, which went beyond the narrow epistemological paths of science in the making. In this tradition, mathematical thought was accompanied by a philosophical requirement. Modernity teaches us to revive it. The book is intended for a varied public: mathematicians concerned with understanding their discipline, philosophers of science, and the erudite public curious about the progress of mathematics.

ISBN: 9783031275487$q(electronic bk.)

Standard No.: 10.1007/978-3-031-27548-7doiSubjects--Topical Terms:

205758
Mathematics
--History--20th century.

LC Class. No.: QA26

Dewey Class. No.: 510.904

Contemporary mathematical thinking
LDR:02580nmm a2200337 a 4500 001 643365
003 DE-He213
005 20230413203422.0
006 m d
007 cr nn 008maaau
008 231123s2023 sz s 0 eng d
020 $a 9783031275487$q(electronic bk.)
020 $a 9783031275470$q(paper)
024 7 $a 10.1007/978-3-031-27548-7 $2 doi
035 $a 978-3-031-27548-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA26
072 7 $a PBX $2 bicssc
072 7 $a MAT015000 $2 bisacsh
072 7 $a PBX $2 thema
082 0 4 $a 510.904 $2 23
090 $a QA26 $b .P314 2023
100 1 $a Patras, Frederic. $3 877655
245 1 0 $a Contemporary mathematical thinking $h [electronic resource] / $c by Frederic Patras.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a vii, 130 p. : $b ill., digital ; $c 24 cm.
490 1 $a Synthese library, studies in epistemology, logic, methodology, and philosophy of science, $x 2542-8292 ; $v v. 474
505 0 $a 1. Introduction -- 2. Style in Mathematics -- 3. From Plato to Husserl -- 4. The Origins of modern Mathematics -- 5. Axioms and Intuitions -- 6. The structuralist Current -- 7. Structures and Categories -- 8. The Homes of Thought -- 9. To the Meeting of Reality -- 10. Conclusion -- References.
520 $a This book deals with the evolution of mathematical thought during the 20th century. Representing a unique point of view combining mathematics, philosophy and history on this issue, it presents an original analysis of key authors, for example Bourbaki, Grothendieck and Husserl. As a product of 19th and early 20th century science, a canon of knowledge or a scientific ideology, mathematical structuralism had to give way. The succession is difficult, still in progress, and uncertain. To understand contemporary mathematics, its progressive liberation from the slogans of "modern mathematics" and the paths that remain open today, it is first necessary to deconstruct the history of this long dominant current. Another conception of mathematical thought emerged in the work of mathematicians such as Hilbert or Weyl, which went beyond the narrow epistemological paths of science in the making. In this tradition, mathematical thought was accompanied by a philosophical requirement. Modernity teaches us to revive it. The book is intended for a varied public: mathematicians concerned with understanding their discipline, philosophers of science, and the erudite public curious about the progress of mathematics.
650 0 $a Mathematics $x History $y 20th century. $3 205758
650 0 $a Mathematics $x Philosophy. $3 187658
650 1 4 $a History of Mathematical Sciences. $3 511733
650 2 4 $a Philosophy of Mathematics. $3 745264
650 2 4 $a Philosophy of Science. $3 277156
650 2 4 $a History of Ideas. $3 936405
650 2 4 $a Phenomenology. $3 268097
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Synthese library, studies in epistemology, logic, methodology, and philosophy of science ; $v v.375. $3 739403
856 4 0 $u https://doi.org/10.1007/978-3-031-27548-7
950 $a Mathematics and Statistics (SpringerNature-11649)